bibkey: huang2008rigidity authors: Yi-Zhi Huang year: 2008 title: Rigidity and modularity of vertex tensor categories doi: 10.1142/S0219199708003083 claim: Under the stated VOA hypotheses, the module category has rigid balanced nondegenerate braided tensor structure and is modular. strata_touched: [] license: citation-only triage: anchor

Modularity of vertex tensor categories

Huang’s arXiv:math/0502533v2 abstract states the same grading, self-duality, semisimplicity, and C2-cofiniteness conditions as the Verlinde paper, and concludes that the braided module category is rigid, balanced, and nondegenerate. This supplies a modular tensor category only after those hypotheses and the vertex tensor category construction apply.

Verified locator

• Versioned manuscript and abstract: https://arxiv.org/abs/math/0502533v2
• Published DOI: https://doi.org/10.1142/S0219199708003083